Answer:
y = x² - 3x - 28
Explanation:
given a parabola with x- intercepts x = a and x = b , then
(x - a) and (x - b) are the corresponding factors and the equation is the product of its factors
y = (x - a)(x - b)
here the x- intercepts are x = - 4 and x = 7 , then the factors are
(x - (- 4)) and (x - 7) , that is (x + 4) and (x - 7) , then
y = (x + 4)(x - 7) ← expand using FOIL , then
y = x² - 3x - 28 ← in standard form